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Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach

Publication ,  Journal Article
Matinyan, SG; Müller, B
Published in: Foundations of Physics
January 1, 1997

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics, we show how the radiatively induced spontaneous symmetry breaking stabilizes the vacuum state against chaos, and we speculate that monopole condensation can have the same effect in non-Abelian gauge theories.

Duke Scholars

Published In

Foundations of Physics

DOI

ISSN

0015-9018

Publication Date

January 1, 1997

Volume

27

Issue

9

Start / End Page

1237 / 1255

Related Subject Headings

  • Nuclear & Particles Physics
  • 22 Philosophy and Religious Studies
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Matinyan, S. G., & Müller, B. (1997). Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach. Foundations of Physics, 27(9), 1237–1255. https://doi.org/10.1007/BF02551526
Matinyan, S. G., and B. Müller. “Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach.” Foundations of Physics 27, no. 9 (January 1, 1997): 1237–55. https://doi.org/10.1007/BF02551526.
Matinyan SG, Müller B. Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach. Foundations of Physics. 1997 Jan 1;27(9):1237–55.
Matinyan, S. G., and B. Müller. “Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach.” Foundations of Physics, vol. 27, no. 9, Jan. 1997, pp. 1237–55. Scopus, doi:10.1007/BF02551526.
Matinyan SG, Müller B. Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach. Foundations of Physics. 1997 Jan 1;27(9):1237–1255.
Journal cover image

Published In

Foundations of Physics

DOI

ISSN

0015-9018

Publication Date

January 1, 1997

Volume

27

Issue

9

Start / End Page

1237 / 1255

Related Subject Headings

  • Nuclear & Particles Physics
  • 22 Philosophy and Religious Studies
  • 02 Physical Sciences
  • 01 Mathematical Sciences